Difference between revisions of "2012 UNCO Math Contest II Problems/Problem 5"
(Created page with "== Problem == What is the remainder when <math>12^{2011}+11^{2012}</math> is divided by seven? == Solution == == See Also == {{UNC Math Contest box|n=II|year=2012|num-b=4|nu...") |
(→Solution) |
||
(6 intermediate revisions by 2 users not shown) | |||
Line 5: | Line 5: | ||
== Solution == | == Solution == | ||
+ | <math>0</math> | ||
+ | Use Fermat's little theorem in mod 7 | ||
+ | |||
+ | -EVKV | ||
== See Also == | == See Also == | ||
− | {{ | + | {{UNCO Math Contest box|n=II|year=2012|num-b=4|num-a=6}} |
[[Category:Introductory Number Theory Problems]] | [[Category:Introductory Number Theory Problems]] |
Latest revision as of 04:33, 2 November 2024
Problem
What is the remainder when is divided by seven?
Solution
Use Fermat's little theorem in mod 7
-EVKV
See Also
2012 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |